529752972672 has 384 divisors, whose sum is σ = 1909019923200. Its totient is φ = 136986808320.

The previous prime is 529752972667. The next prime is 529752972691. The reversal of 529752972672 is 276279257925.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20122654 + ... + 20148962.

It is an arithmetic number, because the mean of its divisors is an integer number (4971406050).

Almost surely, 2^529752972672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529752972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954509961600).

529752972672 is an abundant number, since it is smaller than the sum of its proper divisors (1379266950528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

529752972672 is a wasteful number, since it uses less digits than its factorization.

529752972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26559 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 529752972672 in words is "five hundred twenty-nine billion, seven hundred fifty-two million, nine hundred seventy-two thousand, six hundred seventy-two".